二维迭代函数系统分形吸引子自适应对应变形算法  

Morphing of Two-Dimensional IFS Fractal Attractors with Fuzzy Correspondence

作　　者：张莹[1] 蒋大为[1] 张正贤[1] 危才华[1] 

机构地区：[1]西北工业大学理学院应用数学系,西安710072

出　　处：《计算机辅助设计与图形学学报》2006年第7期1039-1043,共5页Journal of Computer-Aided Design & Computer Graphics

摘　　要：构造迭代函数系统(iterated function system,IFS)仿射变换的相似函数,并在所建立的IFS模糊相似图中搜索带约束条件的最佳路径最大化IFS模糊集隶属函数,从而确定2个IFS特征对应关系.通过插值实现二维IFS分形吸引子变形.实验结果表明:所给出的自适应模糊对应算法简单有效,为分形变形技术提供了一种新的处理方法.First the similar function of iterated function system （IFS） affine transformation is constructed, and then the optimum path with restricted conditions in the IFS fuzzy similar graph is searched. Using the path that maximized the membership function in the IFS fuzzy set, we can establish the feature correspondence between two iterated function systems. Experiments on morphing of two-dimensional fractal attractors with interpolation show that the adaptive fuzzy correspondence algorithm is simple and effective offering a new flexible method in fractal morphing technique.

关 键 词：分形变形 迭代函数系统 自适应对应 相似函数 最佳路径 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]